'Maximally hard' universe and mass spectrum of primordial black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Big Bang Cosmology, Black Holes (Astronomy), Equations Of State, Mass Spectra, Universe, Density Distribution, Inhomogeneity, Mass Distribution, Normal Density Functions, Perturbation Theory, Standard Deviation

Scientific paper

The mass spectrum of primordial black holes formed in a universe with maximally hard equation of state of matter is calculated with allowance for the influence of small-scale inhomogeneities on the dynamical development of large scale perturbations. The basic object of investigation is the field of initial deviations of the density, which are characterized by a normal distribution and standard deviation approximated by a power function of the reciprocal of the mass. It is shown that for a flat spectrum of initial perturbations of the metric the mass distribution function of the primordial black holes has a clear maximum. The influence of accreting matter on the mass spectrum of the resulting objects is estimated. It is noted that dissipation of the small-scale perturbations does not change the qualitative or quantitative conclusions of the paper.

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